Question

3 cuboids of dicmmensions 2cm*5cm*7cm,4cm*4cm*5cmand 2cm*3cm*11cmare melted to form a cube .find the side of the cube

Answer 1

Find volume of the cuboids:

Volume  = Length x Breadth x height

cuboid 1 = 2 x 5 x 7 = 70 cm³

cuboid 2 = 4 x 4 x 5 = 80 cm³

cuboid 3 = 2x 3 x 11 = 66 cm³

Total volume = 70 + 80 + 66 = 216 cm³

Find the length of the cube:

Volume = Length³

Length³ = 216

Length = ³√216

Length = 6 cm

Answer: The length of the cube is 6 cm